Sums of Kloosterman sums in the prime geodesic theorem
Journal article, 2019
We develop a new method for studying sums of Kloosterman sums related to the spectral exponential sum. As a corollary, we obtain a new proof of the estimate of Soundararajan and Young for the error term in the prime geodesic theorem.
Author
Olga Balkanova
Chalmers, Mathematical Sciences, Algebra and geometry
Dmitry Frolenkov
National Research University Higher School of Economics
Russian Academy of Sciences
Quarterly Journal of Mathematics
0033-5606 (ISSN) 1464-3847 (eISSN)
Vol. 70 2 649-674 hay060Subject Categories
Probability Theory and Statistics
Signal Processing
Mathematical Analysis
DOI
10.1093/qmath/hay060